A note on additional properties of sign changing solutions to superlinear elliptic equations
Słowa kluczowe
Sign changing solutions, nodal domains, Morse index, subsolution, supersolutionAbstrakt
We obtain upper bounds for the number of nodal domains of sign changing solutions of semilinear elliptic Dirichlet problems using suitable min-max descriptions. These are consequences of a generalization of Courant's nodal domain theorem. The solutions need not to be isolated. We also obtain information on the Morse index of solutions and the location of sub- and supersolutions.Pobrania
Opublikowane
2003-09-01
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1.
BARTSCH, Thomas & WETH, Tobias. A note on additional properties of sign changing solutions to superlinear elliptic equations. Topological Methods in Nonlinear Analysis [online]. 1 wrzesień 2003, T. 22, nr 1, s. 1–14. [udostępniono 22.7.2024].
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